Generating function techniques for loop quantum cosmology
Generating function techniques for loop quantum cosmology
复制标题
环量子宇宙学的生成函数技术
DOI：
10.1088/0264-9381/21/18/014
复制
发表时间：
2004
影响因子：
3.5
通讯作者：
M. Bojowald
中科院分区：
文献类型：
--
作者：
D. Cartin;G. Khanna;M. Bojowald
环量子宇宙学导致了宇宙波函数的差分方程，一般来说，即使体积变化很小，其解也会迅速变化。对于半经典状态，必须通过适当选择溶液的参数来抑制这种小尺度振荡。对于各向异性模型，不可能通过试错法在数值上做到这一点；相反，这里显示的是，对于Bianchi I LRS模型，如何通过使用生成函数技术来解析地完成。这些技术也可以应用于更复杂的模型，所获得的结果允许对其他系统的初值问题得出结论。
Loop quantum cosmology leads to a difference equation for the wavefunction of a universe, which, in general, has solutions changing rapidly even when the volume changes only slightly. For a semiclassical regime, such small-scale oscillations must be suppressed by choosing the parameters of the solution appropriately. For anisotropic models, this is not possible to do numerically by trial and error; instead, it is shown here, for the Bianchi I LRS model, how this can be done analytically, by using generating function techniques. Those techniques can also be applied to more complicated models, and the results gained allow conclusions about initial value problems for other systems.